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213200303002320 = 24354092171967227
BaseRepresentation
bin110000011110011110010000…
…010100111001001011010000
31000221212202020200120101101110
4300132132100110321023100
5210421033210032033240
62033234511142333320
762623133154446004
oct6036362024711320
91027782220511343
10213200303002320
1161a28816a19387
121bab379212a240
1391c6918c7597a
143a90d42082704
15199ac6859dc80
hexc1e7905392d0

213200303002320 has 80 divisors (see below), whose sum is σ = 662536883229120. Its totient is φ = 56714408205312.

The previous prime is 213200303002319. The next prime is 213200303002333. The reversal of 213200303002320 is 23200303002312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085885454 + ... + 1086081773.

It is an arithmetic number, because the mean of its divisors is an integer number (8281711040364).

Almost surely, 2213200303002320 is an apocalyptic number.

213200303002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213200303002320 is an abundant number, since it is smaller than the sum of its proper divisors (449336580226800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213200303002320 is a wasteful number, since it uses less digits than its factorization.

213200303002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171967652 (or 2171967646 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213200303002320 its reverse (23200303002312), we get a palindrome (236400606004632).

The spelling of 213200303002320 in words is "two hundred thirteen trillion, two hundred billion, three hundred three million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 409 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 16360 19632 24540 32720 49080 98160 2171967227 4343934454 6515901681 8687868908 10859836135 13031803362 17375737816 21719672270 26063606724 32579508405 34751475632 43439344540 52127213448 65159016810 86878689080 104254426896 130318033620 173757378160 260636067240 521272134480 888334595843 1776669191686 2665003787529 3553338383372 4441672979215 5330007575058 7106676766744 8883345958430 10660015150116 13325018937645 14213353533488 17766691916860 21320030300232 26650037875290 35533383833720 42640060600464 53300075750580 71066767667440 106600151501160 213200303002320